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Simplifying 2(y + 2) = 3(y + -4) Reorder the terms: 2(2 + y) = 3(y + -4) (2 * 2 + y * 2) = 3(y + -4) (4 + 2y) = 3(y + -4) Reorder the terms: 4 + 2y = 3(-4 + y) 4 + 2y = (-4 * 3 + y * 3) 4 + 2y = (-12 + 3y) Solving 4 + 2y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 4 + 2y + -3y = -12 + 3y + -3y Combine like terms: 2y + -3y = -1y 4 + -1y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -1y = -12 + 0 4 + -1y = -12 Add '-4' to each side of the equation. 4 + -4 + -1y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = -12 + -4 -1y = -12 + -4 Combine like terms: -12 + -4 = -16 -1y = -16 Divide each side by '-1'. y = 16 Simplifying y = 16
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